An efficient method for computing Liouvillian first integrals of planar polynomial vector fields-Reference-Cited by-同舟云学术

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An efficient method for computing Liouvillian first integrals of planar polynomial vector fields

Published:2021-11 Issue: Volume:300 Page:356-385
ISSN:0022-0396
Container-title:Journal of Differential Equations
language:en
Short-container-title:Journal of Differential Equations

Author:

Duarte L.G.S.,da Mota L.A.C.P.^ORCID

Funder

FAPERJ

Publisher

Elsevier BV

Subject

Analysis,Applied Mathematics

Reference30 articles.

1. Mémoire sur les équations différentielles algébriques du premier ordre et du premier degré (Mélanges);Darboux;Bull. Sci. Math.,1878

2. Elementary first integral of differential equations;Prelle;Trans. Am. Math. Soc.,1983

3. Liouvillian first integrals;Singer;Trans. Am. Math. Soc.,1992

4. Computing closed form solutions of first order ODEs using the Prelle-Singer procedure;Man;J. Symb. Comput.,1993

5. A rational approach to the Prelle-Singer algorithm;Man;J. Symb. Comput.,1997

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1. New Solutions for IOPM and (3+1)-Dimensional NLWE in Liquid with Gas Bubbles;Journal of the Institute of Science and Technology;2022-12-01

2. Solutions for KMM System and Generalized Hyperelastic-Rod Wave Equation;Osmaniye Korkut Ata Üniversitesi Fen Bilimleri Enstitüsü Dergisi;2022-10-01

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